What is the sensitivity of the test for heavy-smoking students (students who smoke 45 cigarettes per week)?

Write the answer in decimal form with 4 decimal places(e.g. 0.3200)

filling in this table using the table below will help you solve the problem:

students who smoke 45 cigarettes per weekreported as light-smoking students

reported as not a light smoker

(+) SCN>100unknown(-) less SCN value

unknown

Research into cigarette-smoking habits, smoking prevention, and cessation programs necessitates the accurate measurement of smoking behavior. However, decreasing the social acceptability of smoking appears to cause significant underreporting. Chemical markers for cigarette use can provide objective indicators of smoking behavior. One widely used noninvasive marker is the level of saliva thiocyanate (SCN). In a Minneapolis school district, 1332 students in eighth grade (ages 12-14) participated in a study whereby they

(1) Viewed a film illustrating how recent cigarette use could be readily detected from small samples of saliva

(2) Provided a personal sample of SCN

(3) Provided a self-report of the number of cigarettes smoked per week

The results are given below

Relationship between SCN levels and self-reported cigarettes smoked per week

SmokersSmokes (+) SCN>100(-) SCN < 100none: 11633811241-4 Cigarettes/wk: 703675-14 Cigarettes/wk: 3022815-24 Cigarettes/wk: 2781925-44 Cigarettes/wk: 1971245+ Cigarettes/wk: 23158

Suppose the self-reports are completely accurate and are representative of the number of eighth-grade students who smoke in the general community. We are considering using an SCN level of 100g/mL as a test criterion for identifying cigarette smokers. Regard a student as positive if he or she smokes one or more cigarettes per week.